The authors have used the 100-m telescope at a frequency of 25 GHz to observe the 22-->21, 32-->31, 42-->41, 52-->51, 62-->61, and 92-->91 transitions of E-type methanol towards a selection of galactic molecular-line sources. They have found several sources of strong narrow line emission in these transitions which are believed to be masers similar to those known in the Orion-KL region. The authors also observe absorption in these lines towards W3(OH) and NGC 7538 showing that the transitions are not necessarily inverted under interstellar conditions. Finally, most strong molecular line sources show emission in these transitions with a profile similar to that known from observations of other molecules. The rotation temperatures estimated for such emission features range between 20 and 100K. The authors conclude that they are observing hot (100K) compact (1017cm) clumps immersed in the general molecular cloud material, which is preferentially sampled, for example, in surveys of the J = 2-->1 methanol transitions.